Answer: Periodic review system
Step-by-step explanation: In simple words, it refers to the traditional inventory management system in which the inventory level is reviewed at regular intervals like once in a week or month etc.
After recording and calculating for the existing level the individual in authority decides there upon whether the inventory should be reordered or not.
In the given case, the owner checks weekly the soda machine and refills it accordingly.
Hence we can conclude that the owner is using periodic inventory system.